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czt_points(m, w=None, a=(1+0j))

Parameters

m : int

The number of points desired.

w : complex, optional

The ratio between points in each step. Defaults to equally spaced points around the entire unit circle.

a : complex, optional

The starting point in the complex plane. Default is 1+0j.

Returns

out : ndarray

The points in the Z plane at which CZT samples the z-transform, when called with arguments m, w, and a, as complex numbers.

Return the points at which the chirp z-transform is computed.

See Also

CZT

Class that creates a callable chirp z-transform function.

czt

Convenience function for quickly calculating CZT.

Examples

Plot the points of a 16-point FFT:

>>> from scipy.signal import czt_points
... points = czt_points(16)
... import matplotlib.pyplot as plt
... plt.plot(points.real, points.imag, 'o')
... plt.gca().add_patch(plt.Circle((0,0), radius=1, fill=False, alpha=.3))
... plt.axis('equal')
... plt.show()

and a 91-point logarithmic spiral that crosses the unit circle:

>>> m, w, a = 91, 0.995*np.exp(-1j*np.pi*.05), 0.8*np.exp(1j*np.pi/6)
... points = czt_points(m, w, a)
... plt.plot(points.real, points.imag, 'o')
... plt.gca().add_patch(plt.Circle((0,0), radius=1, fill=False, alpha=.3))
... plt.axis('equal')
... plt.show()
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.signal._czt.CZT scipy.signal._czt.czt_points

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GitHub : /scipy/signal/_czt.py#53
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